A man has 300, `50rs` shares of a company paying `20%` dividend. Find his net income after paying `3%` income tax.

Answer

To solve the problem step by step, we will follow these calculations:

### Step 1: Find the total nominal value of the shares
The nominal value of one share is given as ₹50, and the man has 300 shares.

\[ \text{Total nominal value} = \text{Number of shares} \times \text{Nominal value per share} \]
\[ \text{Total nominal value} = 300 \times 50 = 15000 \text{ rupees} \]

### Step 2: Calculate the total dividend income
The dividend percentage is given as 20%. We can calculate the total dividend income using the total nominal value.

\[ \text{Dividend} = \left(\frac{\text{Dividend percentage}}{100}\right) \times \text{Total nominal value} \]
\[ \text{Dividend} = \left(\frac{20}{100}\right) \times 15000 = 3000 \text{ rupees} \]

### Step 3: Calculate the income tax
The income tax rate is given as 3%. We will calculate the income tax based on the dividend income.

\[ \text{Income tax} = \left(\frac{\text{Income tax percentage}}{100}\right) \times \text{Dividend} \]
\[ \text{Income tax} = \left(\frac{3}{100}\right) \times 3000 = 90 \text{ rupees} \]

### Step 4: Calculate the net income after tax
To find the net income, we subtract the income tax from the total dividend income.

\[ \text{Net income} = \text{Dividend} - \text{Income tax} \]
\[ \text{Net income} = 3000 - 90 = 2910 \text{ rupees} \]

### Final Answer
The man's net income after paying the income tax is **₹2910**.

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